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Finding the Fourth Proportional to 307.42, 461.20 and 90.99

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Solution

The fourth proportional to 307.42, 461.20 and 90.99 is: 136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 461.20 = 90.99 : x
  2. Step 2: Convert to fraction form
    307.42/461.20 = 90.99/x
  3. Step 3: Cross multiply
    307.42x = 461.20 × 90.99
  4. Step 4: Simplify right side
    307.42x = 41,965.97
  5. Step 5: Solve for x
    x = 41,965.97/307.42
  6. Step 6: Final answer
    x = 136.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.